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Message-ID: <20170329104126.lg6ismevfbqywpcj@hirez.programming.kicks-ass.net>
Date: Wed, 29 Mar 2017 12:41:26 +0200
From: Peter Zijlstra <peterz@...radead.org>
To: Yuyang Du <yuyang.du@...el.com>
Cc: mingo@...nel.org, linux-kernel@...r.kernel.org, pjt@...gle.com,
bsegall@...gle.com, morten.rasmussen@....com,
vincent.guittot@...aro.org, dietmar.eggemann@....com,
matt@...eblueprint.co.uk, umgwanakikbuti@...il.com
Subject: Re: [RESEND PATCH 2/2] sched/fair: Optimize __update_sched_avg()
On Wed, Mar 29, 2017 at 08:04:42AM +0800, Yuyang Du wrote:
> Yes, you need to, and let me do it too and learn how you will rewrite
> it.
I've meanwhile written this. Does that work for you?
---
Subject: sched/fair: Optimize ___update_sched_avg()
From: Yuyang Du <yuyang.du@...el.com>
Date: Mon, 13 Feb 2017 05:44:23 +0800
The main PELT function ___update_load_avg(), that implements the
accumulation and progression of the geometric average series, is
implemented along the following lines for the scenario where the time
delta spans all 3 possible sections (see figure below):
1. add the remainder of the last incomplete period
2. decay old sum
3. accumulate new sum in full periods since last_update_time
4. accumulate the current incomplete period
5. update averages
Or:
d1 d2 d3
^ ^ ^
| | |
|<->|<----------------->|<--->|
... |---x---|------| ... |------|-----x (now)
load_sum' = (load_sum + weight * scale * d1) * y^(p+1) + (1,2)
p
weight * scale * 1024 * \Sum y^n + (3)
n=1
weight * sclae * d3 * y^0 (4)
load_avg' = load_sum' / LOAD_AVG_MAX (5)
Where:
d1 - is the delta part completing the remainder of the last
incomplete period,
d2 - is the delta part spannind complete periods, and
d3 - is the delta part starting the current incomplete period.
We can simplify the code in two steps; the first step is to separate
the first term into new and old parts like:
(load_sum + weight * scale * d1) * y^(p+1) = load_sum * y^(p+1) +
weight * scale * d1 * y^(p+1)
Once we've done that, its easy to see that all new terms carry the
common factors:
weight * scale
If we factor those out, we arrive at the form:
load_sum' = load_sum * y^(p+1) +
weight * scale * (d1 * y^(p+1) +
p
1024 * \Sum y^n +
n=1
d3 * y^0)
Which results in a simpler, smaller and faster implementation.
Cc: mingo@...nel.org
Cc: vincent.guittot@...aro.org
Cc: dietmar.eggemann@....com
Cc: matt@...eblueprint.co.uk
Cc: pjt@...gle.com
Cc: bsegall@...gle.com
Cc: umgwanakikbuti@...il.com
Cc: morten.rasmussen@....com
Signed-off-by: Yuyang Du <yuyang.du@...el.com>
Signed-off-by: Peter Zijlstra (Intel) <peterz@...radead.org>
Link: http://lkml.kernel.org/r/1486935863-25251-3-git-send-email-yuyang.du@intel.com
---
kernel/sched/fair.c | 212 ++++++++++++++++++++++++++++------------------------
1 file changed, 118 insertions(+), 94 deletions(-)
--- a/kernel/sched/fair.c
+++ b/kernel/sched/fair.c
@@ -2767,7 +2767,7 @@ static const u32 __accumulated_sum_N32[]
* Approximate:
* val * y^n, where y^32 ~= 0.5 (~1 scheduling period)
*/
-static __always_inline u64 decay_load(u64 val, u64 n)
+static u64 decay_load(u64 val, u64 n)
{
unsigned int local_n;
@@ -2795,32 +2795,113 @@ static __always_inline u64 decay_load(u6
return val;
}
-/*
- * For updates fully spanning n periods, the contribution to runnable
- * average will be: \Sum 1024*y^n
- *
- * We can compute this reasonably efficiently by combining:
- * y^PERIOD = 1/2 with precomputed \Sum 1024*y^n {for n <PERIOD}
- */
-static u32 __compute_runnable_contrib(u64 n)
+static u32 __accumulate_sum(u64 periods, u32 period_contrib, u32 remainder)
{
- u32 contrib = 0;
+ u32 c1, c2, c3 = remainder; /* y^0 == 1 */
- if (likely(n <= LOAD_AVG_PERIOD))
- return runnable_avg_yN_sum[n];
- else if (unlikely(n >= LOAD_AVG_MAX_N))
+ if (!periods)
+ return remainder - period_contrib;
+
+ if (unlikely(periods >= LOAD_AVG_MAX_N))
return LOAD_AVG_MAX;
- /* Since n < LOAD_AVG_MAX_N, n/LOAD_AVG_PERIOD < 11 */
- contrib = __accumulated_sum_N32[n/LOAD_AVG_PERIOD];
- n %= LOAD_AVG_PERIOD;
- contrib = decay_load(contrib, n);
- return contrib + runnable_avg_yN_sum[n];
+ /*
+ * c1 = d1 y^(p+1)
+ */
+ c1 = decay_load((u64)(1024 - period_contrib), periods);
+
+ periods -= 1;
+ /*
+ * For updates fully spanning n periods, the contribution to runnable
+ * average will be:
+ *
+ * c2 = 1024 \Sum y^n
+ *
+ * We can compute this reasonably efficiently by combining:
+ *
+ * y^PERIOD = 1/2 with precomputed 1024 \Sum y^n {for: n < PERIOD}
+ */
+ if (likely(periods <= LOAD_AVG_PERIOD)) {
+ c2 = runnable_avg_yN_sum[periods];
+ } else {
+ c2 = __accumulated_sum_N32[periods/LOAD_AVG_PERIOD];
+ periods %= LOAD_AVG_PERIOD;
+ c2 = decay_load(c2, periods);
+ c2 += runnable_avg_yN_sum[periods];
+ }
+
+ return c1 + c2 + c3;
}
#define cap_scale(v, s) ((v)*(s) >> SCHED_CAPACITY_SHIFT)
/*
+ * Accumulate the three separate parts of the sum; d1 the remainder
+ * of the last (incomplete) period, d2 the span of full periods and d3
+ * the remainder of the (incomplete) current period.
+ *
+ * d1 d2 d3
+ * ^ ^ ^
+ * | | |
+ * |<->|<----------------->|<--->|
+ * ... |---x---|------| ... |------|-----x (now)
+ *
+ * p
+ * u' = (u + d1) y^(p+1) + 1024 \Sum y^n + d3 y^0
+ * n=1
+ *
+ * = u y^(p+1) + (Step 1)
+ *
+ * p
+ * d1 y^(p+1) + 1024 \Sum y^n + d3 y^0 (Step 2)
+ * n=1
+ */
+static __always_inline u32
+accumulate_sum(u64 delta, int cpu, struct sched_avg *sa,
+ unsigned long weight, int running, struct cfs_rq *cfs_rq)
+{
+ unsigned long scale_freq, scale_cpu;
+ u64 periods;
+ u32 contrib;
+
+ scale_freq = arch_scale_freq_capacity(NULL, cpu);
+ scale_cpu = arch_scale_cpu_capacity(NULL, cpu);
+
+ delta += sa->period_contrib;
+ periods = delta / 1024; /* A period is 1024us (~1ms) */
+
+ /*
+ * Step 1: decay old *_sum if we crossed period boundaries.
+ */
+ if (periods) {
+ sa->load_sum = decay_load(sa->load_sum, periods);
+ if (cfs_rq) {
+ cfs_rq->runnable_load_sum =
+ decay_load(cfs_rq->runnable_load_sum, periods);
+ }
+ sa->util_sum = decay_load((u64)(sa->util_sum), periods);
+ }
+
+ /*
+ * Step 2
+ */
+ delta %= 1024;
+ contrib = __accumulate_sum(periods, sa->period_contrib, delta);
+ sa->period_contrib = delta;
+
+ contrib = cap_scale(contrib, scale_freq);
+ if (weight) {
+ sa->load_sum += weight * contrib;
+ if (cfs_rq)
+ cfs_rq->runnable_load_sum += weight * contrib;
+ }
+ if (running)
+ sa->util_sum += contrib * scale_cpu;
+
+ return periods;
+}
+
+/*
* We can represent the historical contribution to runnable average as the
* coefficients of a geometric series. To do this we sub-divide our runnable
* history into segments of approximately 1ms (1024us); label the segment that
@@ -2852,10 +2933,7 @@ static __always_inline int
___update_load_avg(u64 now, int cpu, struct sched_avg *sa,
unsigned long weight, int running, struct cfs_rq *cfs_rq)
{
- u64 delta, scaled_delta, periods;
- u32 contrib;
- unsigned int delta_w, scaled_delta_w, decayed = 0;
- unsigned long scale_freq, scale_cpu;
+ u64 delta;
delta = now - sa->last_update_time;
/*
@@ -2876,81 +2954,27 @@ ___update_load_avg(u64 now, int cpu, str
return 0;
sa->last_update_time = now;
- scale_freq = arch_scale_freq_capacity(NULL, cpu);
- scale_cpu = arch_scale_cpu_capacity(NULL, cpu);
-
- /* delta_w is the amount already accumulated against our next period */
- delta_w = sa->period_contrib;
- if (delta + delta_w >= 1024) {
- decayed = 1;
-
- /* how much left for next period will start over, we don't know yet */
- sa->period_contrib = 0;
-
- /*
- * Now that we know we're crossing a period boundary, figure
- * out how much from delta we need to complete the current
- * period and accrue it.
- */
- delta_w = 1024 - delta_w;
- scaled_delta_w = cap_scale(delta_w, scale_freq);
- if (weight) {
- sa->load_sum += weight * scaled_delta_w;
- if (cfs_rq) {
- cfs_rq->runnable_load_sum +=
- weight * scaled_delta_w;
- }
- }
- if (running)
- sa->util_sum += scaled_delta_w * scale_cpu;
-
- delta -= delta_w;
-
- /* Figure out how many additional periods this update spans */
- periods = delta / 1024;
- delta %= 1024;
-
- sa->load_sum = decay_load(sa->load_sum, periods + 1);
- if (cfs_rq) {
- cfs_rq->runnable_load_sum =
- decay_load(cfs_rq->runnable_load_sum, periods + 1);
- }
- sa->util_sum = decay_load((u64)(sa->util_sum), periods + 1);
-
- /* Efficiently calculate \sum (1..n_period) 1024*y^i */
- contrib = __compute_runnable_contrib(periods);
- contrib = cap_scale(contrib, scale_freq);
- if (weight) {
- sa->load_sum += weight * contrib;
- if (cfs_rq)
- cfs_rq->runnable_load_sum += weight * contrib;
- }
- if (running)
- sa->util_sum += contrib * scale_cpu;
- }
-
- /* Remainder of delta accrued against u_0` */
- scaled_delta = cap_scale(delta, scale_freq);
- if (weight) {
- sa->load_sum += weight * scaled_delta;
- if (cfs_rq)
- cfs_rq->runnable_load_sum += weight * scaled_delta;
- }
- if (running)
- sa->util_sum += scaled_delta * scale_cpu;
-
- sa->period_contrib += delta;
+ /*
+ * Now we know we crossed measurement unit boundaries. The *_avg
+ * accrues by two steps:
+ *
+ * Step 1: accumulate *_sum since last_update_time. If we haven't
+ * crossed period boundaries, finish.
+ */
+ if (!accumulate_sum(delta, cpu, sa, weight, running, cfs_rq))
+ return 0;
- if (decayed) {
- sa->load_avg = div_u64(sa->load_sum, LOAD_AVG_MAX);
- if (cfs_rq) {
- cfs_rq->runnable_load_avg =
- div_u64(cfs_rq->runnable_load_sum, LOAD_AVG_MAX);
- }
- sa->util_avg = sa->util_sum / LOAD_AVG_MAX;
+ /*
+ * Step 2: update *_avg.
+ */
+ sa->load_avg = div_u64(sa->load_sum, LOAD_AVG_MAX);
+ if (cfs_rq) {
+ cfs_rq->runnable_load_avg =
+ div_u64(cfs_rq->runnable_load_sum, LOAD_AVG_MAX);
}
+ sa->util_avg = sa->util_sum / LOAD_AVG_MAX;
- return decayed;
+ return 1;
}
static int
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